Question

In the given figure, l || m and a line t intersects these lines at points P and Q, respectively. Find the sum (2b + a).

Answer 1

Answer:  2a+b = 396

Step-by-step explanation:

From the above figure, we can say that ∠AQB = ∠FQP    [vertically opposite angles] b = 132°

Since, l, m are parallel lines and t is transversal.

Therefore, ∠EPD = ∠PQF    [corresponding angles]

a = 132°

Now, 2a + b = 2 x 132° + 132° = 264° + 132° = 396

Answer 2

Answer:

Step-by-step explanation:

As l is parallel to m and t is a transversal.

∴ a=132° Corresponding angles

And b=132° .. vertically opposite angles

Now,

⇒2a+b=2×132°+132°

⇒264°+132°=396°